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Finding the Fourth Proportional to 157,840.29, 217,816.02 and 86,220.63

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Solution

The fourth proportional to 157,840.29, 217,816.02 and 86,220.63 is: 118,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,840.29 : 217,816.02 = 86,220.63 : x
  2. Step 2: Convert to fraction form
    157,840.29/217,816.02 = 86,220.63/x
  3. Step 3: Cross multiply
    157,840.29x = 217,816.02 × 86,220.63
  4. Step 4: Simplify right side
    157,840.29x = 18,780,234,468.49
  5. Step 5: Solve for x
    x = 18,780,234,468.49/157,840.29
  6. Step 6: Final answer
    x = 118,982.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.